New horizon in fuzzy distributions: statistical distributions in continuous domains generated by Choquet integral
In this paper, some statistical properties of the Choquet integral are discussed. As an interesting application of Choquet integral and fuzzy measures, we introduce a new class of exponential-like distributions related to monotone set functions, called Choquet exponential distributions , by combinin...
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| Veröffentlicht in: | Soft computing (Berlin, Germany) Germany), 2023-08, Vol.27 (15), p.10447-10456 |
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| creator | Mehri-Dehnavi, Hossein Agahi, Hamzeh Mesiar, Radko |
| description | In this paper, some statistical properties of the Choquet integral are discussed. As an interesting application of Choquet integral and fuzzy measures, we introduce a new class of exponential-like distributions related to monotone set functions, called
Choquet exponential distributions
, by combining the properties of Choquet integral with the exponential distribution. We show some famous statistical distributions such as gamma, logistic, exponential, Rayleigh and other distributions are a special class of Choquet distributions. Then, we show that this new proposed Choquet exponential distribution is better on daily gold price data analysis. Also, a real dataset of the daily number of new infected people to coronavirus in the USA in the period of 2020/02/29 to 2020/10/19 is analyzed. The method presented in this article opens a new horizon for future research. |
| doi_str_mv | 10.1007/s00500-023-08529-7 |
| format | Article |
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Choquet exponential distributions
, by combining the properties of Choquet integral with the exponential distribution. We show some famous statistical distributions such as gamma, logistic, exponential, Rayleigh and other distributions are a special class of Choquet distributions. Then, we show that this new proposed Choquet exponential distribution is better on daily gold price data analysis. Also, a real dataset of the daily number of new infected people to coronavirus in the USA in the period of 2020/02/29 to 2020/10/19 is analyzed. The method presented in this article opens a new horizon for future research.</description><identifier>ISSN: 1432-7643</identifier><identifier>EISSN: 1433-7479</identifier><identifier>DOI: 10.1007/s00500-023-08529-7</identifier><identifier>PMID: 37362290</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Artificial Intelligence ; Computational Intelligence ; Control ; Data analysis ; Decision theory ; Engineering ; Fuzzy Systems and Their Mathematics ; Mathematical Logic and Foundations ; Mechatronics ; Probability distribution functions ; Random variables ; Robotics ; Statistical distributions</subject><ispartof>Soft computing (Berlin, Germany), 2023-08, Vol.27 (15), p.10447-10456</ispartof><rights>The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c426t-2cb926887236cd95f0192d2ee6b5f141e70ca3167f8366efc5d1598b7178c3183</cites><orcidid>0000-0002-4527-2320</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00500-023-08529-7$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2917904676?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>230,314,780,784,885,21388,27924,27925,33744,33745,41488,42557,43805,51319,64385,64387,64389,72469</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/37362290$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Mehri-Dehnavi, Hossein</creatorcontrib><creatorcontrib>Agahi, Hamzeh</creatorcontrib><creatorcontrib>Mesiar, Radko</creatorcontrib><title>New horizon in fuzzy distributions: statistical distributions in continuous domains generated by Choquet integral</title><title>Soft computing (Berlin, Germany)</title><addtitle>Soft Comput</addtitle><addtitle>Soft comput</addtitle><description>In this paper, some statistical properties of the Choquet integral are discussed. As an interesting application of Choquet integral and fuzzy measures, we introduce a new class of exponential-like distributions related to monotone set functions, called
Choquet exponential distributions
, by combining the properties of Choquet integral with the exponential distribution. We show some famous statistical distributions such as gamma, logistic, exponential, Rayleigh and other distributions are a special class of Choquet distributions. Then, we show that this new proposed Choquet exponential distribution is better on daily gold price data analysis. Also, a real dataset of the daily number of new infected people to coronavirus in the USA in the period of 2020/02/29 to 2020/10/19 is analyzed. 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Choquet exponential distributions
, by combining the properties of Choquet integral with the exponential distribution. We show some famous statistical distributions such as gamma, logistic, exponential, Rayleigh and other distributions are a special class of Choquet distributions. Then, we show that this new proposed Choquet exponential distribution is better on daily gold price data analysis. Also, a real dataset of the daily number of new infected people to coronavirus in the USA in the period of 2020/02/29 to 2020/10/19 is analyzed. The method presented in this article opens a new horizon for future research.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><pmid>37362290</pmid><doi>10.1007/s00500-023-08529-7</doi><tpages>10</tpages><orcidid>https://orcid.org/0000-0002-4527-2320</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Artificial Intelligence Computational Intelligence Control Data analysis Decision theory Engineering Fuzzy Systems and Their Mathematics Mathematical Logic and Foundations Mechatronics Probability distribution functions Random variables Robotics Statistical distributions |
| title | New horizon in fuzzy distributions: statistical distributions in continuous domains generated by Choquet integral |
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